I would expect to be using the small seed as the seed to a splitmix64 generator and use two sequential values returned by that generator as the 128bit seed for the target generator (perhaps after skipping some values for mixing).
But this +1 doesn't get the next value instead it gets the first result of the next higher seed, effectively using a constant for the generator of 1 rather than 0x9e3779b97f4a7c15. This is a very poor value to use as a substitute for "Weyl sequence" that looks to be related to the issue that Dr. O'Neill describes in her "bugs in splitmix" post.
This looks like it's an incorrect usage of splitmix64_stateless
https://github.com/lemire/testingRNG/blob/bfd776ba13b837bc1680de08e5de389a7f44f10d/source/lehmer64.h#L22
I would expect to be using the small seed as the seed to a splitmix64 generator and use two sequential values returned by that generator as the 128bit seed for the target generator (perhaps after skipping some values for mixing).
But this
+1
doesn't get the next value instead it gets the first result of the next higher seed, effectively using a constant for the generator of1
rather than0x9e3779b97f4a7c15
. This is a very poor value to use as a substitute for "Weyl sequence" that looks to be related to the issue that Dr. O'Neill describes in her "bugs in splitmix" post.